Explain the rotation rule: 14a) (x,y)-----(-y, x)) 14b) ((X,Y) -----(y, -x) 14c) (x,y) -----(-x, -y) 14d) (X,Y) ------(X,,Y)
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21. The reflection of AB in the x-axis is_____________________.
22. Draw CD as a the reflection of AV in the y-axis. ALREADYDID THIS
23. The 90 degree clockwise rotation of AB about the originis _____________
24. Draw GH as the 180 degree rotation of AB about theoriginal. Need help with this one though.
25. Draw IJ as an image of AB using the following translation(x,y) -> (x+5, y-2)
26. (x,y) -> (x _______________, y___________________)
27. Is OP a congruence translation of AB? If not explainwhy.
please show all steps.
Explain in details whether the following are vector spaces or not:
(i) {(x, y) â R^2| x + 2y = 0}
(ii) {(x, y) â R^2| x â y = 1}
(iii) {(x, y, z) â R^3| z = 1}
(iv) {(x, y) â R^2| x, y ⥠0}